# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0402 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0402?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 374, page id 1066518432:0402 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=402 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000402.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.92 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 374 DE VEREBOS ET NIOTIBOS CORBORDM. LID. II. atque posteaquam den(atx CranE, iterum rarescant dE regrediantUE, idque ricibus permutatis. Ejusmodi motus partium aëris propulsa- rum atque iterum, un de renerant, regredientium, seu interralla pro- sressus atque regressus, rocentur pulsus aeris, quae interralla ob x- qualia temporis interralla praeterpropter aequalia existent. ITisce Politis sequens solrendum occurrit problema. PROPOSTTIOLZXREN. PRODLEMA. 653. Si elasticitates aeris densitatibus respectivis proportionales fue- rint, determinare celeritates aeris elastici in uno ejus pulsu à vibratione corporis tremuli vel alia ratione excitato. T. Sit F F lacitudo unius pulsus, scilicee intelligatur uno itu vi- brationis corporis tremuli contiguum aerem propulsum redactum ese in spatium AB, ex cujus puncto medio P exCitata SIE perpen- dicularis FP, atque in ca recta ME exponat clasticitatem aeris con- denlati AB. Regrediente parte corporis tremuli, vel potius remota vi comprimente, guae aeri AB densitatem naturali majorem induxit, aer AB sui juris Factus, in utramque partem (5. 652.) aequaliter (c diffundere conabitur; sed considerando ejus dilatationem tantum quae rersus D HC, aërem BC ante se propellet, atque cum conden- Tando rediget in volumen CD ipsi AB circiter aequalc. Interral- lum FF, inter puncta media portionum aeris dentarum AB, CD, est interrallum unius pulsus, quoniam aequiralet itineri, quod cundo ee redeundo COnACIEUT. OF innoceseant celeritates aëris in singulis pun- etis interralli PF, procedendum porro ut sequitur: TI. Diridatur FF bifariam in O, jungatur OM, ductaque per quodlibet punctum C interralli R F recta GTI parallela FP linex OMoccurrente in FI, hat denique Fe = F C. Ponatur aerem EB (C CX- tendisse in FC: quaeritur ris acceleratrix puncti progredientis Cr; haec vero ris est virtus clastica aeris FC demta rirtute clastica aeris FC, qui progredienti resistit. Jam aeris progredientis RC raritas CAt UER C, SE reSICTenEIS FaRIFASUE FC, ex quia densitates raritatibus sunt reciprOcC proportionales, e clasticitates directe densitatibus; clalticitates aeris raritatibus ejus crune reciproce proportionales, unde, cum (sccundum hypothesin) aeris AB clasticitas SIE EM, aeris expansi FC elasti. CIFaS CTIE RMI. P B: PG, aerisquC exPanSI FC clastICIEAS RM. EB: FC. Ergo ris acceleratrix puncti C seu differentia clarticicatum= EM. EB: EC, =EM. EB: LO (vel quia sF et EO aequales) = P. M. E. B e te